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48428352 = 2632712011
BaseRepresentation
bin1011100010111…
…1010101000000
310101010102012200
42320233111000
544344201402
64445553200
71125430350
oct270572500
9111112180
1048428352
1125377a35
1214275800
13a057c3b
146608b60
1543b921c
hex2e2f540

48428352 has 84 divisors (see below), whose sum is σ = 158654496. Its totient is φ = 13835520.

The previous prime is 48428323. The next prime is 48428353. The reversal of 48428352 is 25382484.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48428353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1974 + ... + 10037.

It is an arithmetic number, because the mean of its divisors is an integer number (1888744).

Almost surely, 248428352 is an apocalyptic number.

48428352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79327248).

48428352 is an abundant number, since it is smaller than the sum of its proper divisors (110226144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48428352 is a wasteful number, since it uses less digits than its factorization.

48428352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12036 (or 12023 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 48428352 is about 6959.0482107829. The cubic root of 48428352 is about 364.5019842170.

The spelling of 48428352 in words is "forty-eight million, four hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 12011 24022 36033 48044 72066 84077 96088 108099 144132 168154 192176 216198 252231 288264 336308 384352 432396 504462 576528 672616 756693 768704 864792 1008924 1153056 1345232 1513386 1729584 2017848 2306112 2690464 3026772 3459168 4035696 5380928 6053544 6918336 8071392 12107088 16142784 24214176 48428352